Answer:
∛50 cm, 2∛50 cm, 3∛50 cm
Step-by-step explanation:
V= wlh
V=300 cm³
w= 1/3l
h= 2/3l
---------
- l*1/3l*2/3l=300
- 2/9l³=300
- l³= 1350
- l= ∛1350= 3∛50 cm
- w= 1/3*3∛50= ∛50 cm
- h= 2/3*3∛50= 2∛50 cm
Answer:
(-6, -2) is the answer
Step-by-step explanation:
<h2>
Mishka's speed = 14 km/hr</h2><h2>
Current speed = 2 km/hr</h2>
Step-by-step explanation:
Let the speed of rowing be r and speed of current be c.
If he rows with the current, Mishka rows 48 km in 3 hours.
Relative speed = r + c
Distance = 48 km
Time = 3 hours
48 = 3 x ( r+c)
r + c = 16 ---------------------------eqn 1
If he rows against the current, it takes 4 hours to travel the same distance.
Relative speed = r - c
Distance = 48 km
Time = 4 hours
48 = 4 x ( r - c)
r - c = 12 ---------------------------eqn 2
eqn 1 + eqn 2
2r = 28
r = 14 km/hr
Substituting in eqn 1
14 + c = 16
c = 2 km/hr
Mishka's speed = 14 km/hr
Current speed = 2 km/hr
step 1
<span>compute the average: add the values and divide by 6
Average =(44+ 46+40+34+29+41)/6=39
step 2
</span><span>Compute the deviations from the average
dev: (44-39)=5,
</span>dev: (46-39)=7
dev: (40-39)=1
dev: (34-39)=-5
dev: (29-39)=-10
dev: (41-39)=2
step 3
<span>Square the deviations and add
sum (dev^2): 5^2+7^2+1</span>^2+-5^2+-10^2+2^2
sum (dev^2): 25+49+1+25+100+4-----> 204
step 4
<span>Divide step #3 by the sample size=6
(typically you divide by sample size-1 to get the sample standard deviation,
but you are assuming the 6 values are the population,
so
no need to subtract 1, from the sample size.
This result is the variance
Variance =204/6=34
step 5
</span><span>Standard deviation = sqrt(variance)
standard deviation= </span>√<span>(34)------> 5.83
the answer is
5.83</span>
Answer:
x = 9
y = 9
Step-by-step explanation:
Given :
Let :
Kenyan French roast coffee = x
Cost per x = $8
Sumatran Coffee = y
Cost per y = $10
x + y = 18 - - - - (1)
8x + 10y = 9 * 18 ;
8x + 10y = 162 - - - - (2)
From (1):
x = 18 - y
Put x = 18 - y in (2)
8(18 - y) + 10y = 162
144 - 8y + 10y = 162
2y = 162 - 144
2y = 18
y = 9
x = 18 - y
x = 18 - 9
x = 9
